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Related Experiment Video

Updated: May 8, 2026

Generation of a Three-dimensional Full Thickness Skin Equivalent and Automated Wounding

Generation of a Three-dimensional Full Thickness Skin Equivalent and Automated Wounding

Published on: February 26, 2015

PDE and agent based simulation approaches to Ischemic Dermal Wound Closure.

Teddy Lazebnik^1,2, Avner Friedman³

¹Department of Information Systems, University of Haifa, Haifa, Israel.

|May 6, 2026

Summary

Mathematical models simulating ischemic wound healing show oxygen therapy effectively closes wounds. This research offers a quantitative approach to assessing wound healing and treatment interventions for better patient outcomes.

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Last Updated: May 8, 2026

Generation of a Three-dimensional Full Thickness Skin Equivalent and Automated Wounding

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Published on: February 26, 2015

Digital Planimetry for Assessing Wound Closure Kinetics in a Mouse Model

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Published on: January 10, 2025

Demonstration of the Rat Ischemic Skin Wound Model

Demonstration of the Rat Ischemic Skin Wound Model

Published on: April 1, 2015

Area of Science:

Biomedical Engineering
Mathematical Modeling
Wound Healing Research

Background:

Ischemic dermal wounds pose a significant clinical challenge, often failing to heal within the expected 30-day timeframe.
Keratinocytes, crucial epidermal cells, play a vital role in the wound healing process.

Purpose of the Study:

To develop and compare two distinct mathematical models (Partial Differential Equations and Agent-based Simulation) for symmetric flat ischemic wounds.
To evaluate the efficacy of oxygen therapy in promoting wound closure across varying levels of ischemia.

Main Methods:

Development of a Partial Differential Equations (PDE) model and an Agent-based Simulation (ABS) model for ischemic wound dynamics.
Incorporation of keratinocyte cell behavior into both mathematical models.
Simulation of oxygen therapy's impact on wound closure at different ischemia levels ([Formula: see text]).

Main Results:

High agreement observed between the wound radius reduction profiles predicted by the PDE and ABS models.
Oxygen therapies (hyperbaric and topical) demonstrated effectiveness in achieving complete wound closure for mild to moderate ischemia levels.
Specific ischemia thresholds ([Formula: see text] for hyperbaric, [Formula: see text] for topical oxygen) were identified for successful closure.

Conclusions:

The developed mathematical models provide a reliable quantitative framework for studying ischemic wound healing.
Oxygen therapy is a viable intervention for ischemic wounds, with efficacy dependent on the severity of ischemia.
These findings support evidence-based therapeutic strategies for managing challenging dermal wounds.